@article{Schnurer2011Evolu-19149,
  year={2011},
  title={Evolution of convex lens-shaped networks under the curve shortening flow},
  number={5},
  volume={363},
  journal={Transactions of the American Mathematical Society},
  pages={2265--2294},
  author={Schnürer, Oliver C. and Azouani, Abderrahim and Georgi, Marc and Hell, Juliette and Jangle, Nihar and Koeller, Amos and Marxen, Tobias and Ritthaler, Sandra and Sáez, Mariel and Schulze, Felix and Smith, Brian}
}

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    <dc:creator>Schulze, Felix</dc:creator>
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    <dcterms:abstract xml:lang="eng">We consider convex symmetric lens-shaped networks in R2 that evolve under the curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Furthermore, after appropriate rescaling the evolving networks converge to a self-similarly shrinking network, which we prove to be unique in an appropriate class. We also include a classification result for some self-similarly shrinking networks.</dcterms:abstract>
    <dc:contributor>Koeller, Amos</dc:contributor>
    <dc:contributor>Ritthaler, Sandra</dc:contributor>
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    <dc:contributor>Azouani, Abderrahim</dc:contributor>
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    <dc:creator>Ritthaler, Sandra</dc:creator>
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    <dcterms:bibliographicCitation>Publ. in: Transactions of the American Mathematical Society ; 363 (2011), 5. - pp. 2265-2294</dcterms:bibliographicCitation>
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